A solid sphere of density α(>1) times lighter than water is suspended in a water tank by a string tied to its base as shown in figure. If the mass of the sphere is m then the tension in the string is given by
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a
α−1αmg
b
αmg
c
mgα−1
d
(α−1)mg
answer is D.
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Detailed Solution
Density of sphere σ=ρωαρωσ=αFB=mg+TT=FB−mg=ρωVg−mg=ρωmσg−mg=ρωσ−1mg=(α−1)mg